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Finding the Third Proportional to 33,707.25 and 51,583.50

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Solution

The third proportional to 33,707.25 and 51,583.50 is: 78,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707.25 : 51,583.50 = 51,583.50 : x
  2. Step 2: Convert to fraction form
    33,707.25/51,583.50 = 51,583.50/x
  3. Step 3: Cross multiply
    33,707.25x = 51,583.50 × 51,583.50
  4. Step 4: Simplify right side
    33,707.25x = 2,660,857,472.25
  5. Step 5: Solve for x
    x = 2,660,857,472.25/33,707.25
  6. Step 6: Final answer
    x = 78,940.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.